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An Iteration Method for Common Solution of a System of Equilibrium Problems in Hilbert Spaces

Fixed Point Theory and Applications volume 2011, Article number: 780764 (2011) Cite this article

Abstract

The strong convergence theorem is proved for finding a common solution for a system of equilibrium problems: find where is a closed convex subset of a Hilbert space and are bifunctions from into R given exactly or approximatively. As an application, finding a common solution for a system of variational inequality problems is given.

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Authors and Affiliations

  1. Department of Mathematics Education, Kyungnam University, Masan Kyunganm, 631-701, Republic of Korea

    Jong Kyu Kim

  2. Department of Mathematics, Vietnamse Academy of Science and Technology, Institute of Information Technology, 18, Hoang Quoc Viet, q. Cau Giay, Hanoi, 122100, Vietnam

    Nguyen Buong

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  1. Jong Kyu Kim
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  2. Nguyen Buong
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Correspondence to Jong Kyu Kim.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kim, J.K., Buong, N. An Iteration Method for Common Solution of a System of Equilibrium Problems in Hilbert Spaces. Fixed Point Theory Appl 2011, 780764 (2011). https://doi.org/10.1155/2011/780764

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  • DOI: https://doi.org/10.1155/2011/780764

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